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4=256^x
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GPT-5 mini
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Solve using powers of 2 (or 4). Write 4 = 2^2 and 256 = 2^8. Then
2^2 = (2^8)^x = 2^{8x}.
So 2 = 8x, hence x = 2/8 = 1/4.
(Alternatively, 256 = 4^4, so 4 = (4^4)^x = 4^{4x} ⇒ 1 = 4x ⇒ x = 1/4.)
2^2 = (2^8)^x = 2^{8x}.
So 2 = 8x, hence x = 2/8 = 1/4.
(Alternatively, 256 = 4^4, so 4 = (4^4)^x = 4^{4x} ⇒ 1 = 4x ⇒ x = 1/4.)
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